Non-HP keyboard "hotkeys" not functioning as labeled when used with HP Envy.

[Fishineer]

I bought a new Logitech MK470 wireless keyboard & mouse for my HP Envy desktop. The "hotkeys" are not working correctly.
You may refer to the attached photo for an illustrated view of my listed problems.
For the MK470 the top row hotkeys (F1-F12) none have the same indicated functions on each key as did the original keyboard.
Only seven commands are on both the MK470 and HP keyboards' "F" keys.
None of the shared commands are located on the same "F" keys of each. 
None of the "F" keys on the MK470 execute the labels function. For example; "Mute" is marked on key F9 but is actually executed by key F7. Key F9 actually executes "Volume Increase" but it [and V- and mute] only works if I have MS Media Player open and only for MS Media Player.
None of the actually executed functions on the MK470 keys matches the same "F" key of the HP keyboard. 
    I don't know if the hotkey function is totally controlled by the keyboard hardware or the computer or by separate software.   Logitech has software to change hotkey functions but for this keyboard, MK470, it only applies to keys F1-F4 and the software starts by telling me those four keys are working splendidly with the marked function when, in fact, none of them do.

Does anyone know what the root cause might be so I can figure out who I need to go to for help? Is the Logitech keyboard broken? Is the Logitech software messed up? Does my HP Envy have some unique keyboard/computer interface or software that  only HP keyboards are privy to? Until I know what is causing the issue I cannot find a solution. If someone has already been through such a problem already and can provide a cure, that would be great but just letting me know who I need to further question will be a great help.
    Thanks

[Prométhée]

hi

I hope I understood correctly that your problem is that most of the keys do not work as they should
I find that actually curious.
I have a model, less "elaborate", I think, unless I'm mistaken, the k270

https://www.logitech.fr/fr-fr/products/keyboards/k270-unifying-wireless.html
I have no problem with it, the keys all work as indicated
Mute, vol + - , mail shortcuts, calculator
unlike, that separated from the function keys F
Is this a problem with the model of your computer, the keyboard ..?
Although this may not help you, can you test it with another computer?
Do you know if a driver / software is installed for the original one?

[Fishineer · Accepted solution]

    I did find out that the problem was not with me. My return time window was closing so Itook the MK470 back to Best Buy and the tech guy there took it to the back room and tested it on a computer there. He came out saying it was working fine on his computer. We waited for a computer out front to get free, then he attempted to show me how things were working so well. Surprisingly, the keyboard repeated all of the same problems I was having on my HP! Yay! One of the few times in my life a product problem clearly repeated itself at the shop! The tech suggested the fault may be endemic to the MK470 and recommended against exchanging for another one.
    I ended up getting a Logitech MK320, a cheaper, older style keyboard. I like the feel, kind of just what I was really looking for after the 'too much style, not enough user functionality' HP** keyboard. And, bonus, ALL KEYS WORK JUST AS THEY ARE LABELED TO DO, hotkeys and Querty. Problem solved.
    **The same clever people who use gray on black keyboard and port markings and who put the power-on light for the HP Envy desktop on the bottom so you have to lift the base up and use a mirror to ever see it. (I am not making that up.)

[Prométhée]

Ok

so

finally, it was indeed a keyboard problem, what I thought

"We waited for a computer out front to get free, then he attempted to show me how things were working so well. Surprisingly, the keyboard repeated all of the same problems I was having on my HP! Yay! One of the few times in my life a product problem clearly repeated itself at the shop"

Oh, yes, I see, "no, no, you must suck, it works very well", moment of solitude 😁

but here ,misunderstood your comment!

" **The same clever people who use gray on black keyboard and port markings and who put the power-on light for the HP Envy desktop on the bottom so you have to lift the base up and use a mirror to ever see it. (I am not making that up.) "

Thank you for marking the answer, it can always help another in the same situation!

[Fishineer]

    When I referred to the HP style issues I was highlighting the tendency of artsy designers to get in the way of functionality. Text is most easily read when black on a white background or, like most well designed keyboards, bold white on a black background. The original HP keyboard uses a gray shade for the key letters/symbols on a black background making the labels hard to distinguish except in relatively bright lighting. (Not to mention reducing them to a smaller, non-bold size from a prior HP computer/keyboard I had. Admittedly, this is a bigger problem for those of us who are not accomplished touch typists.) Even the USB, etc. ports on the side and back of the base, where you are off angle trying to see what is what so need even better clarity, they keep the same gray lettering. Stupid. The only reason the HP keyboard in the photo of my first posting looks perfectly readable is because I took it when bathed in sunlight and then did some Photoshop work to bump up the contrast and mid-tone brightness. Ta-daa, readable then!

    My second comment was to highlight the utter foolishness of placing a power-on light in a totally blind location. Not much use if it is meant to signal the user the machine is ready to start work or on and one may wish to turn it off. Again a triumph of stylists wanting to preserve a black, blank expanse over the base of the computer instead of allowing a part to actually accomplish the function it is in existence for. Also stupid.
    Let's imagine a car is designed in a similar style. The concerned driver asks, "Why are oncoming cars flashing their bright lights at me? Hmmm. Hey, Tom, take a look under the floor mat over there and tell me if my high beams indicator light is on."